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Efficient utility-based clustering over high dimensional partition spaces
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Liverani, Silvia, Anderson, Paul E., Edwards, Kieron D., Millar, A. J. and Smith, J. Q. (2009) Efficient utility-based clustering over high dimensional partition spaces. Bayesian analysis, Vol.4 (No.3). pp. 539-572. doi:10.1214/09-BA420 ISSN 1931-6690.
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Official URL: http://dx.doi.org/10.1214/09-BA420
Abstract
Because of the huge number of partitions of even a moderately sized dataset, even when Bayes factors have a closed form, in model-based clustering a comprehensive search for the highest scoring (MAP) partition is usually impossible. However, when each cluster in a partition has a signature and it is known that some signatures are of scientific interest whilst others are not, it is possible, within a Bayesian framework, to develop search algorithms which are guided by these cluster signatures. Such algorithms can be expected to find better partitions more quickly. In this paper we develop a framework within which these ideas can be formalized. We then briefly illustrate the efficacy of the proposed guided search on a microarray time coursed at a set where the clustering objective is to identify clusters of genes with different types of circadian expression profiles.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Statistics | ||||
Library of Congress Subject Headings (LCSH): | Cluster analysis, Partitions (Mathematics), Genes -- Mathematical models | ||||
Journal or Publication Title: | Bayesian analysis | ||||
Publisher: | Int Soc Bayesian Analysis | ||||
ISSN: | 1931-6690 | ||||
Official Date: | 2009 | ||||
Dates: |
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Volume: | Vol.4 | ||||
Number: | No.3 | ||||
Number of Pages: | 34 | ||||
Page Range: | pp. 539-572 | ||||
DOI: | 10.1214/09-BA420 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Open Access (Creative Commons) | ||||
Date of first compliant deposit: | 8 December 2015 | ||||
Date of first compliant Open Access: | 8 December 2015 | ||||
Funder: | Engineering and Physical Sciences Research Council (EPSRC), Biotechnology and Biological Sciences Research Council (Great Britain) (BBSRC), France. Agence nationale de la recherche (ANR) | ||||
Grant number: | G19886 (BBSRC), BBF0054661 (ANR/BBSRC), BB/D019621/1 (EPSRC) |
Data sourced from Thomson Reuters' Web of Knowledge
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